What is the Greatest Common Factor of 5325 and 5341?

Greatest common factor (GCF) of 5325 and 5341 is 1.

GCF(5325,5341) = 1

We will now calculate the prime factors of 5325 and 5341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5325 and 5341.

How to find the GCF of 5325 and 5341?

We will first find the prime factorization of 5325 and 5341. After we will calculate the factors of 5325 and 5341 and find the biggest common factor number .

Step-1: Prime Factorization of 5325

Prime factors of 5325 are 3, 5, 71. Prime factorization of 5325 in exponential form is:

5325 = 3¹ × 5² × 71¹

Step-2: Prime Factorization of 5341

Prime factors of 5341 are 7, 109. Prime factorization of 5341 in exponential form is:

5341 = 7² × 109¹

Step-3: Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775

Step-4: Factors of 5341

List of positive integer factors of 5341 that divides 5325 without a remainder.

1, 7, 49, 109, 763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5325 and 5341. The biggest common factor number is the GCF number.
So the greatest common factor 5325 and 5341 is 1.

Also check out the Least Common Multiple of 5325 and 5341